Finding the Third Proportional to 82,899 and 128,591

Step by Step Solution

1. Step 1: Write the proportion equation
   82,899 : 128,591 = 128,591 : x
2. Step 2: Convert to fraction form
   82,899/128,591 = 128,591/x
3. Step 3: Cross multiply
   82,899x = 128,591 × 128,591
4. Step 4: Simplify right side
   82,899x = 16,535,645,281
5. Step 5: Solve for x
   x = 16,535,645,281/82,899
6. Step 6: Final answer
   x = 199,467.37